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Finding the Third Proportional to 293,031 and 601,596

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Solution

The third proportional to 293,031 and 601,596 is: 1,235,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,031 : 601,596 = 601,596 : x
  2. Step 2: Convert to fraction form
    293,031/601,596 = 601,596/x
  3. Step 3: Cross multiply
    293,031x = 601,596 × 601,596
  4. Step 4: Simplify right side
    293,031x = 361,917,747,216
  5. Step 5: Solve for x
    x = 361,917,747,216/293,031
  6. Step 6: Final answer
    x = 1,235,083.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.